Question

How do you solve `3x + y = -11` and `2x - (2/3)y = -2/3`?

Answer 1

`x=-2,y=-5`

Explanation:

Multiply the second equation by 3

`6x-2y=-2`

Multiply the first equation by 2

`6x+2y=-22`

We have two new equations with the same number of `y`s but with different signs. By adding these two equations we can remove the `y`s and solve for `x`.

`12x=-24`

`x=-2`

Put `x=-2` into the first equation

`=> 3xx-2+y=-11`

`-6+y=-11`

`y=-5`